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10312010022120 = 23354331657119771
BaseRepresentation
bin1001011000001111001110…
…1100011011110011101000
31100111211002201010121200120
42112003303230123303220
52322422444031201440
633533134430403240
72113006135644462
oct226036354336350
940454081117616
1010312010022120
113316331907734
1211a6653360520
1359a55921a5a1
1427916533b132
1512d38bba1dd0
hex960f3b1bce8

10312010022120 has 128 divisors (see below), whose sum is σ = 31026447930240. Its totient is φ = 2741839994880.

The previous prime is 10312010022071. The next prime is 10312010022131. The reversal of 10312010022120 is 2122001021301.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10312010022120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86037835 + ... + 86157605.

It is an arithmetic number, because the mean of its divisors is an integer number (242394124455).

Almost surely, 210312010022120 is an apocalyptic number.

10312010022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10312010022120 is an abundant number, since it is smaller than the sum of its proper divisors (20714437908120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10312010022120 is a wasteful number, since it uses less digits than its factorization.

10312010022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121875 (or 121871 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10312010022120 its reverse (2122001021301), we get a palindrome (12434011043421).

The spelling of 10312010022120 in words is "ten trillion, three hundred twelve billion, ten million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 433 866 1299 1657 1732 2165 2598 3314 3464 4330 4971 5196 6495 6628 8285 8660 9942 10392 12990 13256 16570 17320 19884 24855 25980 33140 39768 49710 51960 66280 99420 119771 198840 239542 359313 479084 598855 717481 718626 958168 1197710 1434962 1437252 1796565 2152443 2395420 2869924 2874504 3587405 3593130 4304886 4790840 5739848 7174810 7186260 8609772 10762215 14349620 14372520 17219544 21524430 28699240 43048860 51860843 86097720 103721686 155582529 198460547 207443372 259304215 311165058 396921094 414886744 518608430 595381641 622330116 777912645 793842188 992302735 1037216860 1190763282 1244660232 1555825290 1587684376 1984605470 2074433720 2381526564 2976908205 3111650580 3969210940 4763053128 5953816410 6223301160 7938421880 11907632820 23815265640 85933416851 171866833702 257800250553 343733667404 429667084255 515600501106 687467334808 859334168510 1031201002212 1289001252765 1718668337020 2062402004424 2578002505530 3437336674040 5156005011060 10312010022120